Apply the quotient rule, which is:
and .
To find :
Apply the power rule: goes to
To find :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
Apply the power rule: goes to
The result is:
The result of the chain rule is:
Now plug in to the quotient rule:
Now simplify:
The answer is:
1 x*(2 - 2*x) -------- + ----------- 2 4 (x - 1) (x - 1)
/ 3*x \ 2*|-2 + ------| \ -1 + x/ --------------- 3 (-1 + x)
/ 4*x \ 6*|3 - ------| \ -1 + x/ -------------- 4 (-1 + x)